Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992k |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
8506741824 = 26 · 36 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1114,-13984] |
[a1,a2,a3,a4,a6] |
Generators |
[40:84:1] |
Generators of the group modulo torsion |
j |
2391052454848/132917841 |
j-invariant |
L |
6.8772524214814 |
L(r)(E,1)/r! |
Ω |
0.82917874536863 |
Real period |
R |
2.7646843176222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40992m1 81984r2 122976bj1 |
Quadratic twists by: -4 8 -3 |